کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
520125 | 867698 | 2010 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the indefinite Helmholtz equation: Complex stretched absorbing boundary layers, iterative analysis, and preconditioning
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
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چکیده انگلیسی
This paper studies and analyzes a preconditioned Krylov solver for Helmholtz problems that are formulated with absorbing boundary layers based on complex coordinate stretching. The preconditioner problem is a Helmholtz problem where not only the coordinates in the absorbing layer have an imaginary part, but also the coordinates in the interior region. This results into a preconditioner problem that is invertible with a multigrid cycle. We give a numerical analysis based on the eigenvalues and evaluate the performance with several numerical experiments. The method is an alternative to the complex shifted Laplacian and it gives a comparable performance for the studied model problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 229, Issue 22, 1 November 2010, Pages 8384–8405
Journal: Journal of Computational Physics - Volume 229, Issue 22, 1 November 2010, Pages 8384–8405
نویسندگان
Bram Reps, Wim Vanroose, Hisham bin Zubair,